The perimeter of a rectangle is 80 cm and its area is 375 cm2. What is the difference between the length and the breadth of the rectangle?
Answer & explanation
Correct answer: option 3
Perimeter of rectangle = 80 cm
Area of rectangle = 375 cm2
We know that,
Perimeter of rectangle = 2(l + b)
Area of rectangle = length × breadth
Let the length and breadth of rectangle be l and b
= perimeter = 80
= 2(l + b) = 80
= l + b = 40 ----(a)
= area = 375
= l × b = 375 -----(b)
= From (a) and (b)
= l = 25 , b = 15
= so, difference between the length and breadth = 25 - 15 = 10